Simplify.
-$\frac { \frac { 1 } { x ^ { 2 } } - \frac { 16 } { y ^ { 2 } } } { 5 y - 20 x }$
A) $\frac { y ^ { 2 } + 4 x } { 5 x ^ { 2 } }$
B) $\frac { y + 4 x } { 5 x ^ { 2 } y ^ { 2 } }$
C) $5 x - 20 y ^ { 2 }$
D) $\frac { x + 4 y } { 5 x ^ { 2 } y }$

Question

Quizplus · Accepted Answer

First, factor the numerator and denominator. The numerator becomes $\frac{1}{x^2} - \frac{16}{y^2} = \frac{y^2 - 16x^2}{x^2y^2}$ by finding a common denominator. The denominator can be factored as $5(y - 4x)$. Simplifying the fraction by dividing the numerator by the denominator gives $\frac{y^2 - 16x^2}{x^2y^2 \cdot 5(y - 4x)}$, which simplifies to $\frac{y + 4x}{5x^2y^2}$ after recognizing a mistake in the simplification process.

Simplify - 1x2−16y25y−20x\frac { \frac { 1 } { x ^ { 2 } } - \frac { 16 } { y ^ { 2 } } } { 5 y - 20 x }5y−20xx21​−y216​​

Simplify
- $\frac { \frac { 1 } { x ^ { 2 } } - \frac { 16 } { y ^ { 2 } } } { 5 y - 20 x }$